In the 1967–68 season Uriarte netted a career-best 22 goals in only 24 games (35/28 overall), helping Athletic to the seventh position in the league. In the following year he conquered the first of his two Spanish Cups with the club, and left in 1974 with 389 official appearances (121 goals).[1]

Subsequently Uriarte joined Málaga, achieving one promotion and two relegations with the Andalusians and retiring in 1977 at the age of 32. He worked as a coach in the following decades, managing both Athletic's reserve and youth sides, amongst others.